Quasinormal modes of black holes: The improved semianalytic approach
By J. Matyjasek, M. Opala. 2017
273 citations recorded by the source corpus.
We extend the semianalytic technique of Iyer and Will for computing the complex quasinormal frequencies of black holes, $\ensuremath{\omega}$, by constructing the Pad\'e approximants of the (formal) series for ${\ensuremath{\omega}}^{2}$. It is shown that for the (so-far best documented) quasinormal frequencies of the Schwarzschild and Reissner-Nordstr\"om black holes the Pad\'e transforms ${P}_{6}^{6}$ and ${P}_{7}^{6}$ are, within the domain of applicability, always in excellent agreement with the numerical results. We argue that the method may serve as a black box with the ``potential'' $Q(x)$ as an input and the accurate quasinormal modes as the output. The generalizations and modifications of the method are briefly discussed as well as the preliminary results for other classes of black holes.
Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/5ee1b9b9781b858509260dbb036c1b0806a3e324
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Astronomy and Astrophysics
In Atomic and Molecular Physics, and Optics
In Nuclear and High Energy Physics
Citations in the corpus
- Overdamped modes in Schwarzschild-de Sitter and a Mathematica package for the numerical computation of quasinormal modes (2017, methodology): “. with Leaver’s method[53], because the method requires an initial guess, eectively giving only what’s expected. We checked that even the thirteenth order WKB approximation with Pade resummation of [52], while giving very accurate results for the complex modes, still completely misses the purely ima”